Noncommutative D-brane from Covariant AdS Superstring

TL;DR

This paper investigates noncommutative D-branes in AdS_5xS^5 and pp-wave backgrounds using covariant open string actions, identifying BPS configurations and their limits, thus advancing understanding of noncommutative brane dynamics.

Contribution

It introduces a covariant method to derive noncommutative D-brane configurations in AdS and pp-wave backgrounds, revealing their BPS properties and relations to commutative limits.

Findings

Derived 1/4 BPS noncommutative D-branes in AdS_5xS^5

Identified D-string as 1/2 BPS at the origin and 1/4 BPS elsewhere

Connected AdS and pp-wave D-branes via Penrose limit

Abstract

We explore noncommutative D-branes in the AdS_5xS^5 background from the viewpoint of \kappa-invariance of a covariant open string action in the Green-Schwarz formulation. Boundary conditions to ensure the \kappa-invariance of the action lead to possible configurations of noncommutative D-branes. With this covariant method, we derive configurations of 1/4 BPS noncommutative D-branes. The resulting D-branes other than D-string are 1/4 BPS at any places, and the D-string is exceptional and it is 1/2 BPS at the origin and 1/4 BPS outside the origin. All of them are reduced to possible 1/4 BPS or 1/2 BPS AdS D-branes in the commutative limit or the strong magnetic flux limit. We also apply the same analysis to an open superstring in the pp-wave background and derive configurations of 1/4 BPS noncommutative D-branes in the pp-wave. These D-branes consistently related to AdS D-branes via the Penrose limit.